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Finding the Fourth Proportional to 2,014.64, 3,021.35 and 781.77

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Solution

The fourth proportional to 2,014.64, 3,021.35 and 781.77 is: 1,172.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,014.64 : 3,021.35 = 781.77 : x
  2. Step 2: Convert to fraction form
    2,014.64/3,021.35 = 781.77/x
  3. Step 3: Cross multiply
    2,014.64x = 3,021.35 × 781.77
  4. Step 4: Simplify right side
    2,014.64x = 2,361,996.88
  5. Step 5: Solve for x
    x = 2,361,996.88/2,014.64
  6. Step 6: Final answer
    x = 1,172.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.